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A dynamical effective medium theory is presented for quantum spins and higher multipoles such as quadrupole moments. The theory is a generalization of the spherical model approximation for the Ising model, and is accurate up to O(1/z_n)…

Condensed Matter · Physics 2009-10-30 Yoshio Kuramoto , Noboru Fukushima

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

Mathematical Physics · Physics 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun

Band topology and related spin (or pseudo-spin) physics of photons provide us with a new dimension for manipulating light, which is potentially useful for information communication and data storage. Especially, the quantum spin Hall effect…

Materials Science · Physics 2020-03-03 Biye Xie , Guangxu Su , Hong-Fei Wang , Feng Liu , Lumang Hu , Si-Yuan Yu , Peng Zhan , Ming-Hui Lu , Zhenlin Wang , Yan-Feng Chen

It has been recently shown that the coherent component of light propagating in transversally disordered media, the so-called coherent mode, exhibits an optical spin Hall effect (SHE). In non-resonant materials, however, this phenomenon…

Optics · Physics 2023-06-30 Federico Carlini , Nicolas Cherroret

We theorize the spin Hall effect of light (SHEL) on a nano-metal film and demonstrate it experimentally via weak measurements. A general propagation model to describe the relationship between the spin-orbit coupling and the thickness of the…

Optics · Physics 2012-04-27 Xinxing Zhou , Zhicheng Xiao , Hailu Luo , Shuangchun Wen

When light and matter interact strongly, the resulting hybrid system inherits properties from both constituents, allowing one to modify material behavior by engineering the surrounding electromagnetic environment. This concept underlies the…

The quantum optics of metamaterials starts with the question whether the same effective-medium theories apply as in classical optics. In general the answer is negative. For active plasmonics but also for some passive metamaterials, we show…

Quantum Physics · Physics 2023-01-27 Ehsan Amooghorban , Martijn Wubs

In this paper, we establish the full-wave electromagnetic scattering theory to study the electromagnetic scattering from infinitely long cylinders with radially anisotropic coatings. We show that the total effective scattering width can be…

Optics · Physics 2011-02-22 Yaxian Ni , Lei Gao , Cheng-Wei Qiu

We study the electromagnetic behaviour of dense, spherical clusters made of hundreds of plasmonic nanoparticules under illumination by a plane wave. Using high-precision T-matrix numerical calculations, we compute the multipolar response of…

Photonic spin Hall effect in transmission is a transverse beam shift of the out-coming beam depending on polarization of the in-coming beam. The effect can be significantly enhanced by materials with high anisotropy. We report the first…

At variational level in the framework of dimensional reduced 'U_e(1)\times U_g(1)' electromagnetism it is considered an anyon Landau-Ginzburg Chern-Simons model for the fractional Hall effect. The collective gauge fields are due to…

High Energy Physics - Theory · Physics 2012-01-31 P. Castelo Ferreira

The photonic spin Hall effect (SHE), featured by a spin-dependent transverse shift of an impinging optical beam driven by its polarization handedness, has many applications including precise metrology and spin-based nanophotonic devices. It…

We develop an effective field theory of a generic massive particle of any spin and, as an example, apply this to study higher-spin dark matter (DM). Our formalism does not introduce unphysical degrees of freedom, thus avoiding the potential…

High Energy Physics - Phenomenology · Physics 2021-01-04 Juan Carlos Criado , Niko Koivunen , Martti Raidal , Hardi Veermäe

We present a theoretical study demonstrating enhanced tunability of the photonic spin Hall effect (PSHE) using a strongly interacting Rydberg atomic medium under electromagnetically induced transparency (EIT) conditions. In contrast to…

Quantum Physics · Physics 2026-03-03 Wenzhang Liu , Muqaddar Abbas , Pei Zhang , Jiawei Lai

We derive the electromagnetic medium equivalent to a collection of all-dielectric nano-particles (enjoying high refractive indices) distributed locally non-periodically in a smooth domain $\Omega$. Such distributions are used to model well…

Analysis of PDEs · Mathematics 2024-04-19 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

Artificial magnetic field in electromagnetism is becoming an emerging way as a robust control of light based on its geometric and topological nature. Other than demonstrating topological photonics properties in the diffractive regime using…

Optics · Physics 2021-08-20 Fu Liu , Tao Xu , Saisai Wang , Zhi Hong Hang , Jensen Li

We study a two-dimensional electron system in the presence of spin-orbit interaction. It is shown analytically that the spin-orbit interaction acts as a transversal effective electric field, whose orientation depends on the sign of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Manuel Valin-Rodriguez

An effective field theory for clean electron systems is developed in analogy to the generalized nonlinear sigma-model for disordered interacting electrons. The physical goal is to separate the soft or massless electronic degrees of freedom…

Strongly Correlated Electrons · Physics 2013-10-01 D. Belitz , T. R. Kirkpatrick

We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

Analysis of PDEs · Mathematics 2016-04-29 Habib Ammari , Hai Zhang

In this work, we rigorously derive effective dynamics for light from within a limited frequency range propagating in a photonic crystal that is modulated on the macroscopic level; the perturbation parameter $\lambda \ll 1$ quantifies the…

Mathematical Physics · Physics 2019-08-19 Giuseppe De Nittis , Max Lein